where the \(x\) -component of the vector field \(\rho _{x}\)  corresponds
to the expectation value \(\langle J_{x}\rangle \)  which plays the
role of the order parameter in the boundary theory. The Hawking
temperature of the black hole is given by [1]}
\(T=\frac{e^{-\chi (r_{+})/2}f^{^{\prime }}(r_{+})}{4\pi }. \) 
